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Journal of Biological Dynamics Volume 11, 2017 - Issue sup1: Selected Papers from the AMS Spring Southeast Sectional Meeting, The University of Alabama in Huntsville, AL (March 2015). Guest Editors: James (Mac) Hyman, Jia Li, Maia Martcheva, Glenn Webb
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Original Articles

Analysis of HIV models with two time delays

Areej AlshormanDepartment of Mathematics and Statistics, Oakland University, Rochester, MI, USACorrespondence[email protected]
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Xia WangCollege of Mathematics and Information Science, Xinyang Normal University, Xinyang, People's Republic of ChinaCorrespondence[email protected]
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M. Joseph MeyerDepartment of Mathematics and Statistics, Oakland University, Rochester, MI, USACorrespondence[email protected]
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Libin RongDepartment of Mathematics and Statistics, Oakland University, Rochester, MI, USACorrespondence[email protected]
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Pages 40-64 | Received 08 Sep 2015, Accepted 25 Jan 2016, Published online: 18 Feb 2016

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Chuanqing Xu, Zonghao Zhang, Xiaotong Huang, Kedeng Cheng, Songbai Guo, Xiaojing Wang, Maoxing Liu & Xiaoling Liu. (2023) A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection. Journal of Biological Dynamics 17:1.
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Areej Alshorman, Nidal Al-hosainat & Trachette Jackson. (2022) Analysis of HIV latent infection model with multiple infection stages and different drug classes. Journal of Biological Dynamics 16:1, pages 713-732.
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Ahmed M. Elaiw, Taofeek O. Alade & Saud M. Alsulami. (2018) Analysis of latent CHIKV dynamics models with general incidence rate and time delays. Journal of Biological Dynamics 12:1, pages 700-730.
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Xia Wang, Sanyi Tang, Xinyu Song & Libin Rong. (2017) Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Journal of Biological Dynamics 11:sup2, pages 455-483.
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Articles from other publishers (22)

Jinhu Xu & Guokun Huang. (2023) Global Stability and Bifurcation Analysis of a Virus Infection Model with Nonlinear Incidence and Multiple Delays. Fractal and Fractional 7:8, pages 583.
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Shafeek A. Ghaleb, A. M. Elaiw, Mohammad Alnegga, Emad Ghandourah & Taofeek O. Alade. (2022) Global stability of virus dynamics of an adaptive immune response with two routes of infection and latency. International Journal of Dynamics and Control 11:3, pages 1002-1019.
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Songbai Guo, Xin Yang & Zuohuan Zheng. (2023) Global dynamics of a time-delayed malaria model with asymptomatic infections and standard incidence rate. Electronic Research Archive 31:6, pages 3534-3551.
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Jinhu Xu & Guokun Huang. (2022) Threshold Dynamics for a Time-Periodic Viral Infection Model with Cell-to-Cell Transmission and Drug Treatments. Mathematical Problems in Engineering 2022, pages 1-14.
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Xin Jiang. (2022) Threshold dynamics of a general delayed HIV model with double transmission modes and latent viral infection. AIMS Mathematics 7:2, pages 2456-2478.
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Chunke Shen, Fei Xu & Jia-Fang Zhang. (2022) Periodic Solutions of an Infected-Age Structured HIV Model with the Latent Factor and Different Transmission Modes. International Journal of Bifurcation and Chaos 32:01.
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Hasifa Nampala, Matylda Jablonska-Sabuka & Martin Singull. (2021) Mathematical Analysis of the Role of HIV/HBV Latency in Hepatocytes. Journal of Applied Mathematics 2021, pages 1-15.
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Vadim Sharov, Veronica V. Rezelj, Vladimir V. Galatenko, Avi Titievsky, Julia Panov, Konstantin Chumakov, Raul Andino, Marco Vignuzzi & Leonid Brodsky. (2021) Intra- and Inter-cellular Modeling of Dynamic Interaction between Zika Virus and Its Naturally Occurring Defective Viral Genomes. Journal of Virology 95:22.
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Xinran Zhou, Long Zhang, Tao Zheng, Hong-Li Li & Zhidong Teng. (2021) Global stability for a delayed HIV reactivation model with latent infection and Beddington–DeAngelis incidence. Applied Mathematics Letters 117, pages 107047.
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Naveen K. Vaidya & Michael Peter. (2021) Modeling Intracellular Delay in Within-Host HIV Dynamics Under Conditioning of Drugs of Abuse. Bulletin of Mathematical Biology 83:7.
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Yu Liu, Xiaolin Lin & Jianquan Li. (2021) Analysis and control of a delayed HIV infection model with cell‐to‐cell transmission and cytotoxic T lymphocyte immune response. Mathematical Methods in the Applied Sciences 44:7, pages 5767-5786.
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Yan Wang, Minmin Lu & Daqing Jiang. (2021) Viral dynamics of a latent HIV infection model with Beddington-DeAngelis incidence function, B-cell immune response and multiple delays. Mathematical Biosciences and Engineering 18:1, pages 274-299.
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Zhikun She & Xin Jiang. (2021) Threshold dynamics of a general delayed within-host viral infection model with humoral immunity and two modes of virus transmission. Discrete & Continuous Dynamical Systems - B 26:7, pages 3835.
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Yan Wang, Minmin Lu & Jun Liu. (2020) Global stability of a delayed virus model with latent infection and Beddington–DeAngelis infection function. Applied Mathematics Letters 107, pages 106463.
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Hernán Darío Toro-Zapata, Carlos Andrés Trujillo-Salazar & Edwin Mauricio Carranza-Mayorga. (2020) Mathematical Model Describing HIV Infection with Time-Delayed CD4 T-Cell Activation. Processes 8:7, pages 782.
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Vardayani Ratti, Seema Nanda, Susan K Eszterhas, Alexandra L Howell & Dorothy I Wallace. (2020) A mathematical model of HIV dynamics treated with a population of gene-edited haematopoietic progenitor cells exhibiting threshold phenomenon. Mathematical Medicine and Biology: A Journal of the IMA 37:2, pages 212-242.
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A. M. Elaiw & M. A. Alshaikh. (2020) Stability of a general discrete-time viral infection model with humoral immunity and cellular infection. AIP Advances 10:1.
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Ahmed M. Elaiw, Safiya F. Alshehaiween & Aatef D. Hobiny. (2019) Global Properties of a Delay-Distributed HIV Dynamics Model Including Impairment of B-Cell Functions. Mathematics 7:9, pages 837.
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Huijuan Liu & Jia-Fang Zhang. (2019) Dynamics of two time delays differential equation model to HIV latent infection. Physica A: Statistical Mechanics and its Applications 514, pages 384-395.
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A. M. Elaiw, E. K. Elnahary & A. A. Raezah. (2018) Effect of cellular reservoirs and delays on the global dynamics of HIV. Advances in Difference Equations 2018:1.
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A.M. Elaiw & N.H. AlShamrani. (2018) Stability of latent pathogen infection model with adaptive immunity and delays. Journal of Integrative Neuroscience 17:3-4, pages 547-576.
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Yan Wang, Jun Liu & Luju Liu. (2016) Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy. Advances in Difference Equations 2016:1.
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